MHT CET202124 Sep 2021Evening ShiftMathematicsDifferentiationActual
If x = e ^ t ( t - t ) and y = e ^ t ( t + t ) , then dy dx at t = 3 is
Options
- A3
- B1 3
- C3 2
- D1 2
Correct answer
B. 1 3
Step-by-step solution
aligned & x=e^t( t- t) and y=e^t( t+ t) & d x d t =e^t( t- t)+e^t( t+ t)=2 e^t t & d y d t =e^t( t+ t)+e^t( t- t)=2 e^t t & d y d x = 2 e^t t 2 e^t t ( d y d x )_ t= 3 = ( 3 )= 1 3 & aligned